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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 5

On two-weight inequalities for Hausdorff operators of special kind in Lebesgue spaces

Rovshan Bandaliyev(Institute of Mathematics and Mechanics of Azerbaijan National Academy of Sciences)0000-0002-5038-7632
Kamala Safarova(Institute of Mathematics and Mechanics of Azerbaijan National Academy of Sciences)0000-0002-3428-8693
Sayfa
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Yayın Tarihi
2021-10-15
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The weights are illustrated by examples at the end of the paper.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we establish necessary and sufficient conditions on monotone weight functions for the boundedness for Hausdorff operators of special kind in weighted Lebesgue spaces.
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Temel Bulgular & Veri:In particular, we get similar results for important operators of harmonic analysis which are special cases of the Hausdorff operators.
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Sonuç & Katkı:The weights are illustrated by examples at the end of the paper.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Hausdorff operators of special kind · weighted Lebesgue spaces · monotone weight functions

Abstract

In this paper, we establish necessary and sufficient conditions on monotone weight functions for the boundedness for Hausdorff operators of special kind in weighted Lebesgue spaces. In particular, we get similar results for important operators of harmonic analysis which are special cases of the Hausdorff operators. The weights are illustrated by examples at the end of the paper.

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Bu Makaleye Atıf Yap

Bandaliyev, R., Safarova, K. (2021). On two-weight inequalities for Hausdorff operators of special kind in Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 5. https://doi.org/10.15672/hujms.805157

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